|
Search: id:A111044
|
|
|
| A111044 |
|
Integers which can be written as a sum of at least 2 consecutive squares in at least 3 different ways. |
|
+0
1
|
|
| 147441, 910805, 1026745, 2403800, 2513434, 3198550, 11739805, 15053585, 18646301, 33313175, 93812510, 102939515, 134910295, 136448235, 151443110, 163998695, 195435485, 197780465, 213872920, 267043455, 461498779, 482204660
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The smallest number which can be expressed in 4 such ways is 554503705, which is equal to the sum of squares of the integers in the following closed intervals (480,1210), (3570,3612), (3613,3654) and (7442,7451). - Giovanni Resta (g.resta(AT)iit.cnr.it), Jul 25 2007
|
|
LINKS
|
Sebastien DUMORTIER, Perfect Numbers
|
|
EXAMPLE
|
147441=85^2+86^2+...+101^2=29^2+30^2+...+77^2=18^2+19^2+...+76^2; 910805=550^2+551^2+552^2=144^2+145^2+...+178^2=35^2+36^2+...+140^2; 1026745=716^2+717^2=51^2+52^2+...+147^2=1^2+2^2+...+145^2; 2403800=583^2+584^2+...+589^2=368^2+369^2+...+384^2=298^2+299^2+...+322^2; 2513434=473^2+474^2+...+483^2=286^2+287^2+...+313^2=66^2+67^2+...+198^2; 3198550=225^2+226^2+...+275^2=127^2+128^2+...+226^2=1^2+2^2+...+212^2.
|
|
CROSSREFS
|
See also: A001653, A097812, A062681
Sequence in context: A133324 A110084 A004670 this_sequence A015317 A065323 A029566
Adjacent sequences: A111041 A111042 A111043 this_sequence A111045 A111046 A111047
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
Sebastien DUMORTIER (sdumortier(AT)ac-limoges.fr), Oct 06 2005
|
|
EXTENSIONS
|
More terms from Giovanni Resta (g.resta(AT)iit.cnr.it), Jul 25 2007
|
|
|
Search completed in 0.002 seconds
|
